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85457504 = 25111714281
BaseRepresentation
bin1010001011111…
…11101001100000
312221210200122202
411011333221200
5133334120004
612251352332
72055243146
oct505775140
9187720582
1085457504
1144269540
12247526a8
1314921492
14b4c7596
157780b1e
hex517fa60

85457504 has 48 divisors (see below), whose sum is σ = 194349456. Its totient is φ = 36556800.

The previous prime is 85457447. The next prime is 85457507. The reversal of 85457504 is 40575458.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85457507) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1157 + ... + 13124.

It is an arithmetic number, because the mean of its divisors is an integer number (4048947).

Almost surely, 285457504 is an apocalyptic number.

It is an amenable number.

85457504 is an abundant number, since it is smaller than the sum of its proper divisors (108891952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85457504 is a wasteful number, since it uses less digits than its factorization.

85457504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14319 (or 14311 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 38.

The square root of 85457504 is about 9244.3227983449. The cubic root of 85457504 is about 440.4704059985.

The spelling of 85457504 in words is "eighty-five million, four hundred fifty-seven thousand, five hundred four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 2992 5984 14281 28562 57124 114248 157091 228496 242777 314182 456992 485554 628364 971108 1256728 1942216 2513456 2670547 3884432 5026912 5341094 7768864 10682188 21364376 42728752 85457504